Finding the Third Proportional to 9,866 and 21,646

Step by Step Solution

1. Step 1: Write the proportion equation
   9,866 : 21,646 = 21,646 : x
2. Step 2: Convert to fraction form
   9,866/21,646 = 21,646/x
3. Step 3: Cross multiply
   9,866x = 21,646 × 21,646
4. Step 4: Simplify right side
   9,866x = 468,549,316
5. Step 5: Solve for x
   x = 468,549,316/9,866
6. Step 6: Final answer
   x = 47,491.32